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Finding the Fourth Proportional to 77,348.57, 116,022.95 and 21,189.16

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Solution

The fourth proportional to 77,348.57, 116,022.95 and 21,189.16 is: 31,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.57 : 116,022.95 = 21,189.16 : x
  2. Step 2: Convert to fraction form
    77,348.57/116,022.95 = 21,189.16/x
  3. Step 3: Cross multiply
    77,348.57x = 116,022.95 × 21,189.16
  4. Step 4: Simplify right side
    77,348.57x = 2,458,428,851.22
  5. Step 5: Solve for x
    x = 2,458,428,851.22/77,348.57
  6. Step 6: Final answer
    x = 31,783.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.